Modeling droplet dispersion and interphase turbulent kinetic energy transfer using a new dual-timescale Langevin model

Dispersion of spray droplets and the modulation of turbulence in the ambient gas by the dispersing droplets are two coupled phenomena that are closely linked to the evolution of global spray characteristics, such as the spreading rate of the spray and the spray cone angle. Direct numerical simulations (DNS) of turbulent gas flows laden with sub-Kolmogorov size particles, in the absence of gravity, report that dispersion statistics and turbulent kinetic energy (TKE) evolve on different timescales. Furthermore, each timescale behaves differently with Stokes number, a non-dimensional flow parameter (defined in this context as the ratio of the particle response time to the Kolmogorov timescale of turbulence) that characterizes how quickly a particle responds to turbulent fluctuations in the carrier or gas phase. A new dual-timescale Langevin model (DLM) composed of two coupled Langevin equations for the fluctuating velocities, one for each phase, is proposed. This model possesses a unique feature that the implied TKE and velocity autocorrelation in each phase evolve on different timescales. Consequently, this model has the capability of simultaneously predicting the disparate Stokes number trends in the evolution of dispersion statistics, such as velocity autocorrelations, and TKE in each phase. Predictions of dispersion statistics and TKE from the new model show good agreement with published DNS of non-evaporating and evaporating droplet-laden turbulent flow.     

不同粒径尿微晶的ζ电位、自相关曲线和聚集状态

采用纳米粒度仪和透射电子显微镜(TEM)比较研究了10例尿石症患者和10例健康对照者的尿液经不同孔径滤膜(0.22、0.45、1.2、3.0、10μm)过滤后,尿微晶平均粒径(d)、粒度分布、自相关曲线、ζ电位和聚集状态的变化。随着滤膜孔径由0.22μm增至10μm,患者尿微晶的d值由162 nm增至3 227 nm,自相关曲线平滑性变差,自相关时间(Ta)由1.92 ms增至2100 ms,ζ由-2.65 mV减小至-9.21 mV,TEM显示尿微晶尺寸差异大,部分尿微晶处于聚集状态。而对照者尿微晶的d值仅由187 nm增加至1 010 nm,自相关曲线平滑,Ta由1.40 ms增加至6.67 ms,ζ平均值由-5.22 mV减小至-6.89 mV,TEM显示尿微晶均匀分散,尺寸较小。上述结果表明:尿石患者的尿液体系不稳定,其尿微晶聚集程度高,导致尿石症形成的危险性增加。     

基于视差自相关特征水深反演

提出了一种基于视差自相关特征模拟水深的新方法。这种方法利用不同摄站获取的同一物体的两幅图像,在水的折射影响下,造成的视觉上的偏差计算水深,可以得到相关区域三维显示中各点的水深数值。以数码相机所拍摄两张照片为例,实现相关区域水深三维显示。结果表明此算法具有一定的可行性,可以进行更深层次的研究,并应用于浅海、河流等地的资源探测开发。     

Two-scale symbol and autocorrelation symbol for B-splines with multiple knots

The Fourier transforms of B-splines with multiple integer knots are shown to satisfy a simple recursion relation. This recursion formula is applied to derive a generalized two-scale relation for B-splines with multiple knots. Furthermore, the structure of the corresponding autocorrelation symbol is investigated. In particular, it can be observed that the solvability of the cardinal Hermite spline interpolation problem for spline functions of degree 2m+1 and defectr, first considered by Lipow and Schoenberg [9], is equivalent to the Riesz basis property of our B-splines with degreem and defectr. In this way we obtain a new, simple proof for the assertion that the cardinal Hermite spline interpolation problem in [9] has a unique solution.     

GaN(0001)表面的电子结构研究

报道了纤锌矿WZ(wurtzite)GaN(0001)表面的电子结构研究.采用全势线性缀加平面波方法计算得到了GaN分波态密度,与以前实验结果一致.讨论了Ga3d对GaN电子结构的影响.利用同步辐射角分辨光电子能谱技术研究了价带电子结构.通过改变光子能量的垂直出射谱勾画沿ΓA方向的体能带结构,与计算得到的能带结构符合得较好.根据沿ΓK和ΓM方向的非垂直出射谱,确定了两个表面态的能带色散 关键词： GaN 角分辨光电发射 全势线性缀加平面波 电子结构     

Further explorations into ternary complementary pairs

In [R. Craigen, C. Koukouvinos, A theory of ternary complementary pairs, J. Combin. Theory Ser. A 96 (2001) 358-375], we proposed a systematic approach to the theory of ternary complementary pairs (TCPs) and showed how all pairs known then could be constructed using a single elementary product, the natural equivalence relations, and a handful of pairs which we called primitive. We also introduced more new primitive pairs than could be inferred previously, concluding with some conjectures reflecting the patterns that were beginning to arise in light of the new approach.In this paper we take what appears to be the natural next step, by investigating these patterns among those lengths and weights that are within easy computational distance from the last length considered therein, length 14. We give complete results up to length 21, and partial results up to length 28. (Ironically, although we proceed analytically by weight first then length, for computational reasons we are bound, in this empirical investigation, to proceed according to length first.)Thus we provide support for the previous conjectures, and shed enough new light to speculate further as to the likely ultimate shape of the theory. Since short term work on TCPs will require massive acquisition of data about small pairs, we also discuss affixes—a computational strategy that arose out of the investigations culminating in this article.     

在非线性回归模型中误差为AR(2)的相关性检验

本文讨论了在非线性回归模型中误差为AR(2)的相关性检验，得到了误差相关性检验的似然比检验统计量、Score检验统计量．对感兴趣参数和多余参数，利用Cox and Reid(1987)提出的正交化方法，给出了修正的似然比检验统计量和Score检验统计量．推广了胡跃清，韦博成(1994)讨论的在非线性回归模型中误差为AR(1)相关性检验的结果．     

再论ARMA模型参数极大似然估计的收敛速度

本文给出了ＡＲＭＡ模型参数的极大似然估计和最小平方和估计的强收敛速度。     

二元序列的自相关函数和游程的一些结果

给出了二元周期序列的自相关性质与其游程性质之间的关系,作为一个应用,我们给出了周期为1 2的零自相关窗大于等于6的所有序列.     

关于时间序列分析的注记

本文讨论了时间序列分析中几个值得注意的问题 ;1自相关函数的意义 ,2趋势外推法预测中置信区间校正系数的计算 .